[0.0249707,0.03836101,0.07197375,0.121614575,0.17358969,0.20897685,0.21454732,0.19199489,0.15621758,0.12707596,0.120322146,0.14095642,0.18070544,0.22071274,0.24328655,0.24177583,0.22255172,0.19599389,0.16809571,0.14021076,0.113508046,0.09418733,0.09161813,0.114228845,0.1614868,0.22048497,0.26961973,0.29077455,0.28103113,0.25284213,0.22411455,0.20598935,0.19978191,0.20000239,0.1997449,0.1931703,0.17832096,0.15703402,0.13442437,0.11454796,0.099675365,0.089270584,0.082465924,0.077860475,0.07543731,0.07507303,0.078258194,0.086420245,0.102816395,0.12804292,0.15918972,0.18749344,0.20428282,0.20384236,0.18755929,0.16077892,0.13247992,0.10850158,0.09137454,0.07723033,0.0650188,0.05686615,0.06033036,0.07550142,0.09522257,0.105768204,0.10381925,0.09672579,0.10028116,0.1202961,0.15008791,0.17169887,0.17256747,0.15165786,0.12244921,0.10114345,0.10044398,0.121346556,0.15716174,0.19502981,0.22470039,0.23989727,0.23948307,0.22395682,0.19545989,0.16008376,0.12788928,0.1105768,0.11273993,0.12937771,0.14634393,0.15254183,0.14467096,0.12800668,0.107784085,0.08663428,0.06618485,0.049053725,0.040036306,0.043802205,0.06540216,0.10311381,0.14572774,0.17344671,0.17440973,0.15417524,0.13267986,0.12567474,0.13322538,0.14481561,0.15099919,0.15183127,0.15123163,0.15312439,0.15669471,0.16031057,0.16206487,0.16268605,0.16327696,0.16473673,0.16594,0.16655643,0.16830342,0.17511559,0.18865238,0.20583045,0.21868183,0.21910278,0.20466809,0.18275972,0.167342,0.16835131,0.18374623,0.20017259,0.20503305,0.19218272,0.16461289,0.12766586,0.08960735,0.057152208,0.035469804,0.024186814,0.020627186,0.022570265,0.030983722,0.04760313,0.06990229,0.091787934,0.10813082,0.12387311,0.14873809,0.1883766,0.23181891,0.2588754,0.2528335,0.216103,0.16807127,0.13456735,0.13075285,0.15512793,0.19156022,0.22215164,0.23684101,0.23806907,0.23556209,0.23720968,0.24284701,0.24422199,0.2322592,0.20389111,0.16513291,0.12748714,0.10159548,0.09162315,0.09442737,0.103546016,0.11440381,0.12675248,0.13916107,0.14756978,0.14538656,0.13517968,0.12770264,0.13644423,0.16197194,0.19020192,0.2014779,0.18515255,0.14653459,0.10077816,0.06325367,0.041654196,0.037153643,0.046870816,0.066715695,0.08885717,0.104847245,0.10800872,0.101537704,0.09432453,0.098358475,0.11765173,0.14869595,0.17860901,0.19527103,0.19205149,0.17389722,0.15006126,0.12844057,0.10956293,0.09162357,0.07330034,0.05737255,0.046479885,0.04254955,0.044845015,0.052888483,0.06480225,0.07758826,0.086244166,0.08767732,0.081748225,0.0713009,0.059137035,0.047642726,0.03841971,0.032726467,0.030804815,0.032527074,0.037427276,0.044571307,0.053207014,0.06364786,0.079604186,0.10320387,0.13394676,0.16389607,0.18630797,0.1960098,0.19506578,0.18630135,0.17458712,0.16416208,0.16115141,0.168858,0.18520902,0.20022489,0.20345008,0.1901874,0.166093,0.14314334,0.13217537,0.13758391,0.15282111,0.16657265,0.16642472,0.14911592,0.119032405,0.08887843,0.071531914,0.07687813,0.104833364,0.14417614,0.17593463,0.18526483,0.17188613,0.14830516,0.1285307,0.11669087,0.10929898,0.10233276,0.0986852,0.10417948,0.12139449,0.14236043,0.15442826,0.15025629,0.13683657,0.12753673,0.128967,0.13498394,0.1353163,0.12667674,0.11269777,0.097526036,0.081660114,0.06534203,0.05215071,0.046475857,0.050268516,0.05935608,0.06801012,0.0714721,0.071822464,0.07374979,0.08123928,0.09171203,0.10155799,0.11164948,0.12867005,0.15656203,0.18931602,0.21459608,0.22395052,0.21894763,0.20825368,0.19937783,0.19529957,0.1922953,0.18444026,0.1677572,0.14705175,0.13436818,0.13868137,0.15607356,0.16994591,0.16802739,0.1539976,0.14651017,0.16043383,0.19399698,0.23053797,0.25171694,0.24931651,0.22465403,0.18537097,0.13962485,0.09682637,0.06447689,0.047348525,0.043980893,0.048774004,0.054910168,0.059014942,0.062256556,0.06815482,0.08120948,0.10519608,0.14062463,0.17842565,0.20061868,0.19204359,0.15426283,0.1056982,0.06643832,0.044634923,0.036201525,0.03376516,0.032978043,0.033095565,0.035214636,0.041982424,0.05541345,0.07417858,0.09142712,0.09910496,0.09382071,0.07982721,0.06472515,0.054587256,0.054856796,0.073654234,0.12086478,0.19381325,0.27142355,0.31898925,0.31728065,0.27185228,0.21056855,0.15576743,0.11751384,0.09299287,0.07846699,0.070134155,0.064393945,0.05880029,0.053314555,0.051312834,0.056982204,0.075511396,0.109848045,0.15465625,0.19318129,0.2043031,0.17990118,0.13143577,0.08238978,0.052080262,0.049992472,0.07967976,0.13660672,0.20701332,0.26468477,0.2923645,0.28648576,0.26515546,0.2438745,0.23508269,0.23641036,0.24335201,0.24674185,0.24357605,0.23842947,0.2422976,0.2625293,0.29092005,0.3095297,0.3028656,0.27312186,0.23408867,0.20028055,0.17773594,0.16577603,0.16049808,0.1551974,0.14334385,0.12185547,0.09444908,0.068273015,0.0493201,0.039786037,0.03808171,0.041292343,0.046686452,0.05633424,0.07720714,0.118694365,0.181462,0.25312594,0.31131303,0.3382949,0.33074653,0.29952154,0.26188785,0.23083265,0.21326905,0.20754169,0.2091964,0.21205415,0.21498616,0.22210248,0.23993225,0.26846123,0.29584524,0.30398414,0.28105703,0.23304357,0.1816225,0.15081532,0.15092899,0.17307349,0.19779134,0.20777857,0.19698936,0.16978098,0.13705723,0.109352835,0.09267592,0.08680573,0.08827398,0.094117306,0.10336446,0.11485144,0.12508413,0.12777652,0.1189306,0.099957496,0.079723336,0.06870691,0.074375115,0.09795312,0.135767,0.18392836,0.23710595,0.28956723,0.32942867,0.34680745,0.33728135,0.30960208,0.27780008,0.25368536,0.24018759,0.23209862,0.22290641,0.20837812,0.19102871,0.17566085,0.16657548,0.1617074,0.15518264,0.14249802,0.1276053,0.11902997,0.12233416,0.13269787,0.14184223,0.14374126,0.140297,0.13576601,0.13563727,0.14289878,0.15918587,0.18196201,0.2039091,0.21482112,0.20914531,0.19320329,0.17963153,0.17644663,0.18129277,0.19006519,0.2032752,0.21932425,0.23002404,0.22406559,0.20338078,0.17848851,0.16083401,0.15075372,0.14786355,0.15408336,0.17324947,0.20014602,0.2218886,0.22572167,0.20780264,0.17468636,0.1376426,0.10759377,0.08868071,0.078633554,0.07067821,0.06152496,0.053332314,0.052993726,0.06416548,0.08597872,0.113371216,0.14212309,0.1682726,0.1882859,0.2012658,0.21011174,0.2209136,0.23640668,0.25613952,0.27542087,0.28920403,0.29119387,0.27859977,0.25241795,0.21931757,0.1858751,0.15782113,0.13572961,0.11933652,0.10775118,0.10606245,0.12146673,0.1574959,0.20572273,0.24764733,0.26861832,0.26446375,0.24296467,0.21035947,0.1723076,0.13362992,0.10577973,0.09794932,0.11353788,0.1454997,0.18418573,0.2178318,0.23448497,0.22403122,0.18703783,0.13890326,0.10189549,0.092572026,0.112423934,0.15032363,0.18927853,0.21616066,0.22608739,0.22244416,0.2109661,0.19727905,0.18449728,0.1751477,0.16768165,0.15887234,0.1434875,0.12049184,0.092737466,0.068533756,0.056619614,0.061329085,0.0769028,0.08990825,0.08877031,0.07318162,0.052534964,0.037329074,0.030867467,0.03165198,0.036175516,0.042849686,0.05042313,0.059076518,0.06853356,0.076681964,0.07910535,0.072131045,0.057283703,0.04113452,0.03180332,0.032235872,0.039272856,0.045624327,0.046808034,0.043275375,0.040634487,0.046673596,0.06630132,0.09886027,0.13508855,0.16532686,0.18211953,0.18535918,0.1778115,0.16894846,0.17215037,0.19862883,0.24391375,0.2885007,0.30995739,0.30052716,0.26753524,0.2268837,0.19021495,0.16277127,0.14090125,0.11838814,0.09113354,0.06265224,0.040618118,0.029943151,0.028648764,0.030723477,0.033511993,0.03998807,0.053132672,0.06960904,0.07902986,0.0751104,0.0607845,0.047749326,0.043445885,0.048248935,0.05887864,0.07872453,0.11546292,0.1700551,0.22710735,0.26123792,0.256028,0.21765852,0.17386793,0.15480383,0.17712742,0.23068528,0.2924017,0.33380863,0.34494388,0.3245497,0.28925565,0.25480884,0.24079357,0.25063586,0.2746714,0.29108492,0.28511667,0.25726587,0.22410518,0.20335317,0.2039832,0.21823625,0.23272695,0.23576136,0.22700304,0.21162295,0.19531535,0.17948245,0.16255154,0.1432812,0.122031905,0.101403214,0.08468959,0.07392472,0.069237985,0.07129455,0.08550679,0.12035813,0.17721593,0.24291815,0.29274336,0.30987552,0.29626206,0.27335277,0.26075587,0.26459113,0.2723548,0.2709233,0.2571884,0.24152695,0.23247762,0.22628509,0.20979668,0.17407914,0.1251335,0.0785464,0.050173808,0.04715967,0.06852856,0.10539045,0.14521347,0.17501932,0.1895705,0.19141577,0.19162904,0.19940019,0.21957837,0.24533232,0.26644886,0.2742511,0.26874015,0.25413355,0.23327649,0.20859183,0.18553959,0.17619084,0.19222134,0.23565002,0.29496944,0.34704056,0.37025294,0.3542467,0.31115106,0.27041954,0.2602118,0.28579256,0.32074395,0.3307072,0.29601112,0.2290413,0.15527911,0.097883314,0.062038492,0.04369617,0.035746682,0.0339884,0.034520682,0.033779677,0.031407613,0.03128544,0.036876675,0.046074376,0.050888073,0.046132486,0.03292133,0.018638803,0.008591302,0.00433901,0.003921515,0.005687335,0.008929692,0.012832924,0.016258014,0.018380782,0.021719916,0.031513255,0.051813092,0.079657376,0.10706816,0.12866221,0.14794213,0.16930628,0.19002186,0.19700862,0.18173899,0.1458297,0.10311929,0.06613969,0.04382648,0.03773105,0.048443537,0.07449689,0.113633074,0.15828912,0.19731402,0.21970148,0.2211863,0.20492548,0.17890893,0.15252744,0.13523518,0.13420542,0.14772092,0.16446817,0.16767031,0.15125878,0.12102083,0.09171847,0.07137799,0.06275211,0.06463856,0.07825259,0.103842914,0.13757353,0.17034899,0.18931107,0.18572778,0.15908377,0.11909336,0.07794645,0.04477286,0.022628592,0.010631866,0.0061457795,0.0059696627,0.007336008,0.008212525,0.008003891,0.007078633,0.006496432,0.0070045856,0.009919989,0.019358804,0.042290498,0.083627336,0.13513918,0.17620903,0.18399625,0.1551372,0.10543406,0.05949211,0.029860849,0.017232748,0.01671849,0.028484076,0.05488175,0.09478619,0.1374832,0.16825418,0.17627329,0.16249269,0.13562497,0.10629382,0.08174816,0.067215025,0.06739791,0.083069056,0.1085068,0.12905806,0.13211673,0.11234424,0.07899752,0.044839684,0.021480607,0.011061656,0.012179977,0.024369756,0.05408178,0.111631356,0.19685848,0.2903721,0.35601422,0.36964056,0.33492157,0.28328708,0.24426758,0.2264415,0.21516877,0.19105081,0.14931302,0.1033166,0.077652544,0.088400066,0.13847032,0.2099014,0.27889165,0.31840995,0.32008353,0.28976926,0.2494226,0.21423326,0.18980926,0.1692637,0.1488074,0.13141127,0.12788482,0.14526622,0.18170667,0.22538082,0.26213488,0.282164,0.28109503,0.25955644,0.2205293,0.17240123,0.12663184,0.09605962,0.08721998,0.09788388,0.11707715,0.13450278,0.14764208,0.163602,0.18561256,0.20648241,0.20996203,0.19047163,0.15628369,0.12676391,0.113640346,0.12055079,0.13842578,0.15734719,0.16773194,0.17387135,0.18501925,0.21097983,0.24876608,0.2890145,0.31910267,0.32928842,0.31557572,0.28403056,0.25009614,0.2255867,0.20980914,0.19037777,0.16140254,0.12914297,0.10997078,0.11114979,0.13253765,0.16383074,0.20016748,0.23131295,0.25153616,0.2507635,0.23291852,0.20626746,0.18691047,0.1798001,0.18286245,0.18623735,0.18532999,0.1790027,0.16994071,0.16060744,0.15701692,0.16566288,0.18865742,0.21590018,0.22983943,0.21547134,0.17266656,0.11554245,0.06330359,0.027973244,0.010281528,0.004032583,0.0026084036,0.003345377,0.008047351,0.02160194,0.04673018,0.07787347,0.10124004,0.10365782,0.08460244,0.056264665,0.03555427,0.033351187,0.05329406,0.09037755,0.13053776,0.15365104,0.14563574,0.11046643,0.06747335,0.040112767,0.043489356,0.08428714,0.15667991,0.24259967,0.3130982,0.34667358,0.34145865,0.3141437,0.2829026,0.25472662,0.22863549,0.20285319,0.181204,0.167361,0.16363,0.16650645,0.17041355,0.16679418,0.15014175,0.119475104,0.08183674,0.046817493,0.022224458,0.009613137,0.007011583,0.011839149,0.021398643,0.031992164,0.039146658,0.042984728,0.048406076,0.061683357,0.083877854,0.113195874,0.14999332,0.19678657,0.24993323,0.29562727,0.31723806,0.3080742,0.27264705,0.22181787,0.16368155,0.107176065,0.059484262,0.02767467,0.0114540495,0.0068810023,0.0074030906,0.009042557,0.009669489,0.009102604,0.0077858344,0.00659245,0.0067886333,0.010502745,0.019999115,0.035417426,0.053674784,0.072203636,0.095546626,0.1341516,0.1917973,0.25130892,0.28105414,0.25838098,0.191878,0.115109704,0.06556519,0.063913345,0.11093104,0.1892318,0.27167282,0.3312861,0.35593215,0.3506006,0.32963148,0.30250654,0.26938918,0.227775,0.18179308,0.14667237,0.13759403,0.1571099,0.18887031,0.2114654,0.21576764,0.21074347,0.21236302,0.227018,0.24852705,0.26247278,0.25938872,0.23587777,0.19763337,0.15110148,0.104766004,0.06406375,0.03451652,0.020077309,0.025710255,0.0555647,0.10708648,0.1693015,0.2260675,0.2687063,0.29670754,0.3136764,0.31941298,0.31211033,0.29234958,0.26472723,0.23613451,0.2143815,0.20385285,0.20540215,0.2131788,0.22221194,0.22648305,0.22287671,0.20802705,0.18184583,0.14758773,0.11005497,0.07512134,0.0476221,0.032942917,0.03442202,0.051754843,0.07953864,0.108233355,0.12969409,0.14036818,0.14413138,0.14704655,0.15387513,0.16269653,0.16868849,0.16661906,0.15678537,0.14319345,0.1332223,0.13410866,0.14875843,0.17154074,0.18806766,0.18725924,0.17142272,0.15809512,0.16578434,0.1970333,0.23685807,0.2617756,0.26214728,0.24236302,0.21709722,0.19222777,0.16743635,0.13983454,0.11300859,0.09254878,0.080592684,0.07318356,0.064029776,0.050130576,0.03414518,0.022863278,0.023803795,0.04074805,0.07162959,0.10766604,0.13948156,0.16318518,0.1842127,0.21023025,0.24271731,0.272048,0.2849653,0.27379784,0.24318634,0.20582707,0.17556553,0.1621132,0.16948317,0.19533777,0.229195,0.25599274,0.26374888,0.25038305,0.22323602,0.19281918,0.16762014,0.15068297,0.14194386,0.14064287,0.151281,0.17701894,0.2155266,0.2509807,0.2671968,0.253893,0.21614142,0.16481791,0.11429248,0.07436084,0.049887273,0.03801906,0.032190755,0.028845122,0.031240815,0.04960217,0.08920077,0.14435522,0.19385797,0.21894133,0.21255392,0.18770562,0.16054845,0.1434028,0.13834028,0.14469339,0.16169928,0.1858679,0.21162368,0.2276629,0.22914092,0.21541113,0.19757493,0.18480772,0.18423027,0.19237292,0.20250331,0.20930219,0.2134337,0.22112463,0.23357369,0.24874455,0.25653166,0.25203657,0.23117477,0.19875039,0.16017878,0.124266066,0.09937801,0.09338204,0.11263899,0.15425687,0.2081734,0.25437644,0.27872756,0.27494827,0.25349084,0.22841005,0.21490234,0.21737774,0.23350184,0.25156543,0.26032892,0.25228387,0.2311666,0.2098461,0.20450254,0.22485639,0.26297626,0.299391,0.3127737,0.30146182,0.27666393,0.2530528,0.23059821,0.20295149,0.16750701,0.1315601,0.102778524,0.08200688,0.064102255,0.046777125,0.031579133,0.022817686,0.020704024,0.023277298,0.026917107,0.030891458,0.036488272,0.04547235,0.05911045,0.07828497,0.10636183,0.14283131,0.18109421,0.20594358,0.20778584,0.18802822,0.16027957,0.13800102,0.13012475,0.1405515,0.16712965,0.20063971,0.22493303,0.23017758,0.21909034,0.2070262,0.20711444,0.21895903,0.22944681,0.22339787,0.19937362,0.16597128,0.13512373,0.10901976,0.08714076,0.06875359,0.056597676,0.04950763,0.043642264,0.035000637,0.024133556,0.013957526,0.00795703,0.009235423,0.02178262,0.04731168,0.08021915,0.1075801,0.11748797,0.109660864,0.09372186,0.081921995,0.0807462,0.0939444,0.12004288,0.15248369,0.1765448,0.18222642,0.16807227,0.14448498,0.11920316,0.09695774,0.07603373,0.05769832,0.042763744,0.03429471,0.032852743,0.038600013,0.048506066,0.0592842,0.069143765,0.08009758,0.09367138,0.106944494,0.1131765,0.107663184,0.091744386,0.0703888,0.04962473,0.033990618,0.027990824,0.033053767,0.047507804,0.06537358,0.08044551,0.08789379,0.086330704,0.07727795,0.06464476,0.053052824,0.045768503,0.043463677,0.044359807,0.04594463,0.04657458,0.047142044,0.05071326,0.06156215,0.08131965,0.10712748,0.13145,0.14672405,0.14858377,0.13684554,0.11391216,0.084751256,0.056935757,0.03775695,0.030260215,0.031432565,0.03665167,0.042633962,0.04942124,0.057879508,0.07016154,0.08891859,0.115287244,0.14540152,0.16946973,0.17759937,0.16589493,0.13927089,0.10685917,0.07675406,0.053967718,0.04144528,0.041328643,0.052021384,0.068260975,0.082384296,0.091754995,0.098413266,0.10693884,0.11768139,0.12823386,0.13600153,0.14088388,0.14345652,0.1433423,0.13973285,0.13356768,0.12740941,0.12379355,0.12098623,0.11443755,0.099701405,0.079083614,0.060280677,0.050735224,0.051002856,0.05511568,0.058328036,0.060713783,0.06559019,0.07263199,0.077444084,0.07594574,0.06830431,0.05861875,0.05115789,0.049395937,0.05621445,0.07297924,0.097466625,0.122327834,0.13926542,0.14323898,0.13536836,0.120647036,0.105299115,0.093783505,0.08756313,0.08472856,0.083411194,0.082764246,0.0832659,0.083133586,0.081708364,0.08175408,0.09160921,0.11615323,0.15118892,0.18160255,0.19339532,0.182232,0.15728025,0.13191657,0.11500899,0.10627087,0.100238405,0.09221807,0.08102885,0.06794781,0.054567248,0.04347549,0.039158035,0.04764683,0.07147733,0.10679025,0.1419289,0.16436137,0.16569412,0.14719798,0.11684998,0.08593279,0.06300971,0.05202827,0.05169138,0.05810724,0.0674249,0.077520795,0.08797125,0.097082205,0.10277742,0.10241169,0.09808604,0.09384584,0.094013125,0.09701685,0.09819711,0.094857186,0.09048153,0.0912067,0.098266505,0.10646257,0.10850841,0.1025444,0.091879606,0.08282427,0.07838083,0.07866303,0.0793206,0.07710713,0.070984274,0.06535133,0.06478802,0.0705544,0.07841694,0.08346185,0.08537698,0.08831515,0.097190976,0.110655494,0.12240558,0.123004965,0.10983235,0.086681396,0.06350119,0.046215743,0.036802933,0.033997748,0.03979491,0.057306264,0.0864087,0.11822673,0.13993324,0.1440335,0.13547216,0.12500215,0.11970973,0.11842584,0.1196011,0.12335616,0.13240196,0.14440711,0.15773694,0.16882408,0.17654474,0.17607732,0.16448171,0.141207,0.111871086,0.08476734,0.06920049,0.070234515,0.08818052,0.11435599,0.13876767,0.15118116,0.15209831,0.14553593,0.14005764,0.13866933,0.1421289,0.14638464,0.14627673,0.13779967,0.12174991,0.10567703,0.10053485,0.11385111,0.14349048,0.17530073,0.193693,0.18972547,0.16853578,0.13948144,0.11178297,0.08885157,0.07428912,0.07101273,0.08120772,0.10180446,0.12533702,0.1434613,0.15061177,0.14566468,0.12912829,0.10382392,0.07495227,0.051459115,0.041500255,0.047203004,0.0631523,0.08008883,0.092763,0.10097971,0.10728037,0.11102354,0.108822726,0.09851404,0.08265159,0.06863406,0.06366465,0.0708198,0.08595932,0.100861065,0.1086665,0.1087992,0.105495624,0.10278928,0.10125408,0.09932386,0.09546023,0.0886138,0.07836544,0.06647359,0.056838665,0.052847195,0.05387691,0.057076663,0.060086757,0.06377403,0.0695188,0.07889541,0.09102836,0.10339729,0.11045355,0.10838001,0.09824627,0.088798694,0.09308046,0.12047261,0.16886516,0.21940982,0.24855964,0.2420234,0.209257,0.17273529,0.15424304,0.15821503,0.17416966,0.18514515,0.18052502,0.1617459,0.13773097,0.11784335,0.104852386,0.09806666,0.09445089,0.09249187,0.08953166,0.085507266,0.08138355,0.0816165,0.08726021,0.096830994,0.104069956,0.10524576,0.09939617,0.09029443,0.081536435,0.07482473,0.06823105,0.06071617,0.05497643,0.060689468,0.08453033,0.12630183,0.17050457,0.2017585,0.20789151,0.19281358,0.16356142,0.13028145,0.096710674,0.06706591,0.045402605,0.038169663,0.048249185,0.072018534,0.09834065,0.11652237,0.1215916,0.11694965,0.108061366,0.099255055,0.09199055,0.08641433,0.08214391,0.07835635,0.07597952,0.0757429,0.07761601,0.07784968,0.07339835,0.0641791,0.05443664,0.049569663,0.052478712,0.06445655,0.08330533,0.10557222,0.12324121,0.12969089,0.12263659,0.10958973,0.10019079,0.09923094,0.1006901,0.09621786,0.08133155,0.0606143,0.041287653,0.029922314,0.027871132,0.03233066,0.03757138,0.039297894,0.038898,0.043467674,0.06101821,0.09088961,0.12255172,0.14255096,0.15058547,0.16085303,0.18949771,0.23292619,0.26724282,0.2682204,0.23515755,0.19245978,0.16556478,0.16152729,0.16578601,0.1653115,0.15887666,0.15868731,0.17337096,0.20134175,0.23163624,0.24936552,0.2459647,0.21947797,0.17981513,0.13926668,0.109747045,0.095072776,0.09211732,0.0938665,0.093781136,0.09157908,0.090570636,0.09486515,0.10176139,0.104430385,0.096834324,0.08093331,0.06559856,0.060614597,0.070622526,0.09348946,0.12116516,0.14334881,0.15062712,0.143629,0.1329475,0.13552952,0.15776521,0.19368291,0.22766465,0.25291583,0.26872432,0.2796919,0.28056824,0.2686186,0.24447234,0.22124319,0.2064547,0.19937879,0.189279,0.17347683,0.16026895,0.16560455,0.1914774,0.22550265,0.24263263,0.23368311,0.20259695,0.16853952,0.14134666,0.12546037,0.121339,0.13225017,0.15977456,0.19388627,0.22196043,0.23433787,0.23694281,0.23849374,0.24516356,0.2510438,0.2468838,0.22399616,0.18433149,0.1380501,0.10313537,0.09180503,0.10886284,0.14525089,0.18903859,0.22552395,0.24676925,0.24885525,0.23476064,0.21244578,0.19324784,0.19001089,0.20679635,0.23677482,0.26247928,0.271939,0.26613188,0.25658718,0.25201717,0.2504256,0.24371268,0.22643566,0.20113188,0.17703398,0.16433026,0.17271386,0.20453902,0.25514507,0.30912828,0.35165954,0.37323427,0.37333274,0.35444093,0.31941488,0.27511013,0.23167558,0.2005388,0.18553106,0.18359764,0.18692164,0.19179875,0.19617026,0.20056145,0.20004451,0.19422907,0.1832258,0.17346835,0.16510968,0.15669526,0.1434865,0.12495872,0.10320973,0.08311362,0.07026652,0.06941489,0.080852725,0.09869053,0.11314114,0.11963931,0.12252601,0.13066109,0.14656204,0.16493438,0.18246906,0.20196289,0.22881098,0.2579138,0.27909136,0.2843854,0.27650908,0.2622869,0.24579851,0.22980322,0.21855229,0.21888322,0.23240799,0.2508902,0.26191154,0.25679934,0.23867188,0.21528447,0.19385217,0.17672485,0.16675536,0.16962044,0.18810529,0.21553458,0.2349924,0.2329879,0.20856269,0.17396386,0.14224666,0.11995415,0.105709694,0.09729513,0.09434008,0.09940966,0.11142705,0.1247041,0.13076302,0.12712519,0.11977622,0.11823971,0.12669542,0.13954452,0.14688784,0.14139822,0.1241897,0.10100732,0.07857143,0.059765976,0.045515805,0.03569888,0.030651392,0.03030487,0.03337082,0.037501514,0.039617553,0.038832333,0.037044156,0.03955641,0.049751658,0.06695453,0.08376246,0.093686074,0.09471927,0.09351781,0.09514615,0.099728644,0.10011961,0.0932116,0.08129108,0.07106763,0.06538734,0.063323356,0.061809096,0.059263572,0.055688575,0.052436322,0.05038709,0.04975905,0.050715044,0.05554089,0.06727504,0.08608413,0.10771861,0.12563898,0.13601261,0.13767844,0.13270904,0.12365436,0.11414822,0.105848454,0.09931365,0.09354597,0.08764128,0.080126084,0.07067269,0.061601683,0.058779527,0.06790135,0.08996407,0.11797825,0.13954137,0.14373343,0.12790373,0.099864565,0.07135419,0.050985754,0.039236113,0.032541346,0.02761478,0.02460797,0.025350511,0.03166033,0.04483801,0.063687705,0.08416537,0.09864711,0.10270882,0.09606167,0.084975295,0.07541955,0.07443542,0.08404719,0.101828165,0.11725023,0.121216275,0.11100537,0.09316671,0.07645167,0.068149656,0.07319652,0.09107193,0.11433333,0.12845552,0.12465209,0.104254276,0.07945902,0.061500724,0.057185132,0.06650525,0.084643066,0.103232734,0.114786185,0.11748949,0.114876,0.11175411,0.10970947,0.10696379,0.10038366,0.0889099,0.07535491,0.06427511,0.05812003,0.05423771,0.04917653,0.041816324,0.036021117,0.035760432,0.04295006,0.054243606,0.06376836,0.06531957,0.05789247,0.046164647,0.03871872,0.04151185,0.05564985,0.078089826,0.10442967,0.12877773,0.14360408,0.14378543,0.13138452,0.11536386,0.105544515,0.10635211,0.11812825,0.13528833,0.15102403,0.15555339,0.14941368,0.13886602,0.13691753,0.14505525,0.15778679,0.16214834,0.15265872,0.13035306,0.1033658,0.07933206,0.06279385,0.0548166,0.05357452,0.056661755,0.061470777,0.067668974,0.07627148,0.087340295,0.09843761,0.10486334,0.10549682,0.102648325,0.1030834,0.1103771,0.12407876,0.13807629,0.14517768,0.14253835,0.13215367,0.122095644,0.11795252,0.122514464,0.13277908,0.14601023,0.16174746,0.18021558,0.20047672,0.21776707,0.22926159,0.23185569,0.2237047,0.20117827,0.16731435,0.1319183,0.10812861,0.100901574,0.105160825,0.11193975,0.11504748,0.114214145,0.11201527,0.11389217,0.12474582,0.14716983,0.17602964,0.20095883,0.20950033,0.19977202,0.17979544,0.16759579,0.17107423,0.18620951,0.1944179,0.1855158,0.16217399,0.13901648,0.12393821,0.11294406,0.098683774,0.08077819,0.06869345,0.06746534,0.0753822,0.08452875,0.09675831,0.117029905,0.15005834,0.18566342,0.21284299,0.22491296,0.23191069,0.2471333,0.27823445,0.31404662,0.3334513,0.31962362,0.27567184,0.21906352,0.17041622,0.14118952,0.13498592,0.14632161,0.16426252,0.17456461,0.169066,0.14779349,0.118389286,0.08923898,0.06718815,0.05463727,0.05072253,0.051918384,0.055723578,0.060367953,0.06508916,0.068311065,0.07100965,0.07500446,0.08230341,0.09188195,0.105113775,0.1274008,0.16294253,0.20536701,0.2356742,0.23873185,0.2149846,0.18611032,0.17624746,0.19796878,0.24123687,0.28385124,0.30460736,0.2965484,0.26603025,0.22804391,0.19478552,0.17201038,0.15590851,0.14126706,0.12592368,0.11304716,0.105251856,0.101267494,0.09708648,0.090551294,0.08494816,0.088134915,0.11107191,0.15626955,0.21445616,0.25931987,0.27007583,0.24052511,0.191251,0.14811035,0.13164002,0.14391871,0.17505772,0.20858659,0.22857702,0.22729577,0.20581697,0.17367356,0.13967995,0.11049828,0.08921408,0.07766958,0.07596308,0.082325794,0.09518274,0.112264395,0.13075663,0.14528243,0.1535813,0.15584123,0.15559183,0.15210445,0.14465849,0.13200729,0.117003314,0.10176227,0.08934852,0.081783414,0.07991097,0.08070963,0.079127386,0.072790444,0.06615371,0.070584774,0.09737011,0.14718844,0.20463371,0.2470489,0.2610996,0.25121626,0.23001774,0.2069875,0.18312961,0.15913905,0.13620277,0.11813245,0.10614315,0.10044986,0.0992308,0.10186383,0.11175022,0.13205291,0.16166735,0.1885338,0.20216404,0.19922055,0.19062175,0.18737231,0.1944695,0.20598148,0.21221961,0.20639499,0.18911642,0.17010094,0.16170831,0.17198724,0.19752745,0.22632535,0.2448514,0.24574934,0.23040475,0.20665449,0.18475558,0.17285742,0.17331497,0.18126553,0.18652658,0.1807488,0.16279954,0.14111155,0.12979038,0.14511193,0.1974874,0.28087363,0.3667482,0.41665852,0.41003582,0.36001325,0.3050978,0.27563992,0.27635804,0.2841582,0.27750978,0.25015578,0.21785183,0.19764705,0.19876295,0.21895576,0.24997254,0.2791359,0.2903755,0.27615678,0.24469228,0.22029263,0.219902,0.24245174,0.26542303,0.2701936,0.25079194,0.2194363,0.19144629,0.17909789,0.18469663,0.20027156,0.2119525,0.21006732,0.1970911,0.18548238,0.18756549,0.20612536,0.2318201,0.2481807,0.2450519,0.22711982,0.21122034,0.20935094,0.2174318,0.2201888,0.2056673,0.17527656,0.14022498,0.113631375,0.1032936,0.10919582,0.12394353,0.13630198,0.1377347,0.12846452,0.12126959,0.13820553,0.19672544,0.2921789,0.38985312,0.4484034,0.4485327,0.41100407,0.37012884,0.34760436,0.33579943,0.31739005,0.28313485,0.24136226,0.20853306,0.19430625,0.1958006,0.20135999,0.20548348,0.21421273,0.23689549,0.2725608,0.3042761,0.31811354,0.3122051,0.30013466,0.28655887,0.26643708,0.22848503,0.17692812,0.12877129,0.10301402,0.10533293,0.124761365,0.1460029,0.15580231,0.15305023,0.14262073,0.13721067,0.14511041,0.16497332,0.18201722,0.1809846,0.16205452,0.14021121,0.13316995,0.1430735,0.16169177,0.1771632,0.18532066,0.18443237,0.17568994,0.16104347,0.14668117,0.13981365,0.1456706,0.16492979,0.19261451,0.22105008,0.23984289,0.24307252,0.22937477,0.20544785,0.17896299,0.15745233,0.14688118,0.1507694,0.16863352,0.1910082,0.20871739,0.21598409,0.21671058,0.21468042,0.21219383,0.20766002,0.19921847,0.1847989,0.16350234,0.13774277,0.11476922,0.10408008,0.113963686,0.14316092,0.18226755,0.21409494,0.22939408,0.2258568,0.21127652,0.1896405,0.16528082,0.14124554,0.12590344,0.12601285,0.14161222,0.16169383,0.17108347,0.16192661,0.13918893,0.11586878,0.100324474,0.09301851,0.09004467,0.09364596,0.112338126,0.151977,0.20694129,0.25918996,0.2950674,0.3088521,0.30446482,0.28206006,0.24596272,0.20636506,0.1804161,0.17618264,0.18758029,0.19983351,0.20287196,0.19638711,0.18659449,0.18092859,0.18374793,0.19303495,0.20048492,0.19610655,0.17902362,0.15668745,0.14041965,0.13168506,0.12571114,0.11492473,0.09969119,0.08531627,0.08043539,0.09005588,0.114435874,0.14612931,0.17353117,0.18581016,0.18162507,0.17011492,0.1634139,0.16639815,0.1729607,0.17619056,0.1747344,0.17575341,0.18352745,0.19758348,0.2102711,0.21579419,0.21125798,0.20029922,0.18674092,0.17355281,0.16143237,0.15634544,0.16652632,0.19502103,0.22881003,0.24626386,0.23297457,0.19309826,0.14381011,0.10061429,0.06994691,0.04945286,0.03521721,0.0244201,0.017052522,0.015192646,0.02348383,0.047331627,0.08724323,0.13483728,0.17704679,0.2066408,0.2280727,0.24779558,0.26581165,0.27523348,0.27502868,0.2722393,0.2719202,0.26935983,0.2520409,0.21768902,0.17783673,0.15523894,0.16357493,0.19661991,0.22906172,0.23444067,0.20658112,0.16053097,0.12020746,0.09733418,0.09254727,0.101565324,0.12556271,0.16204827,0.20197432,0.22949661,0.23877628,0.23497845,0.22967373,0.22552918,0.21874486,0.20663522,0.19631219,0.20001924,0.2217716,0.2507573,0.26530758,0.25275502,0.2170908,0.17572151,0.14087023,0.11484461,0.094005235,0.0790664,0.07338866,0.07821238,0.088418685,0.09792756,0.10314878,0.105106175,0.1046971,0.10237191,0.09778275,0.0922766,0.08745617,0.08324065,0.078213096,0.07043457,0.060918678,0.051132202,0.043412145,0.038075577,0.03666173,0.041828927,0.05948822,0.09307174,0.14027357,0.18802881,0.2216347,0.23103644,0.2193061,0.19502388,0.16869213,0.1469959,0.13510762,0.13408776,0.14005807,0.14539123,0.1450224,0.14076453,0.1390224,0.14467378,0.15630941,0.16897064,0.17863046,0.18829791,0.2040409,0.22877611,0.25304857,0.2612611,0.24292237,0.20297235,0.15631707,0.11767337,0.09611285,0.09545935,0.11395007,0.1414371,0.16258569,0.16589807,0.15156645,0.12926675,0.11027453,0.09969624,0.096439414,0.09569788,0.09431342,0.09067077,0.08477008,0.0758496,0.06496095,0.055104002,0.051782727,0.05877098,0.078704335,0.11134126,0.15769279,0.21600525,0.2819069,0.34070203,0.3722359,0.3589882,0.30177245,0.22095537,0.14450286,0.09067917,0.061662626,0.049361423,0.04526408,0.045624647,0.0516286,0.064968735,0.08397188,0.10272453,0.1161524,0.1242582,0.13168216,0.14146294,0.15203673,0.15929054,0.16067873,0.15719607,0.15040417,0.14271905,0.13487147,0.12844011,0.122396685,0.11542771,0.104233414,0.08846321,0.07054504,0.05734414,0.05393138,0.061029095,0.0731653,0.08473065,0.09340998,0.1002059,0.10503601,0.10551235,0.101109505,0.097309865,0.10344624,0.12438101,0.15444769,0.17979456,0.18822455,0.17631377,0.15170063,0.124943614,0.10508111,0.09291134,0.08683016,0.08266014,0.07989376,0.07688832,0.07345346,0.06815172,0.062373664,0.058488328,0.059027493,0.06323546,0.067537375,0.06908917,0.06841787,0.07010513,0.07861369,0.09874624,0.1307684,0.17152005,0.20820342,0.22894256,0.22680326,0.21086329,0.19598706,0.19413841,0.20203586,0.20631425,0.19523402,0.16989641,0.14116994,0.118649624,0.102580376,0.08816084,0.07279892,0.05926608,0.05072401,0.04651768,0.042973597,0.03789901,0.033595715,0.034346864,0.042949602,0.058179885,0.07825646,0.101176955,0.12621035,0.14815553,0.16122909,0.15910882,0.14397813,0.12316021,0.10995924,0.11433955,0.13954021,0.1776217,0.21371739,0.23557943,0.24008703,0.23567055,0.2323401,0.23646957,0.24525468,0.25360498,0.25588796,0.25046238,0.23620875,0.21524192,0.1921279,0.17530467,0.17270873,0.18562917,0.20578068,0.21729259,0.2100618,0.18663199,0.16074173,0.14328335,0.133906,0.12642093,0.11709229,0.11003119,0.10881547,0.11276874,0.1155985,0.1122298,0.102205426,0.08975565,0.07972743,0.07401652,0.07191827,0.07375172,0.08324697,0.10253552,0.12827057,0.14948876,0.15957586,0.15678586,0.14701484,0.13175985,0.113968015,0.09687246,0.08882421,0.09468929,0.11286745,0.13430317,0.14846094,0.1495616,0.1412782,0.13399844,0.13837053,0.1554336,0.176392,0.18703027,0.17896934,0.15353526,0.1208008,0.09154609,0.07240707,0.064019345,0.06408519,0.069148146,0.075654574,0.07962947,0.078659885,0.07348675,0.06790932,0.065391846,0.06742296,0.07434968,0.08858555,0.113232456,0.14822553,0.18469179,0.20851326,0.20830445,0.18590337,0.15460299,0.12974247,0.1173378,0.112344034,0.10639738,0.09502191,0.08024979,0.06625559,0.057134356,0.05607395,0.06415296,0.07869368,0.09261536,0.10004034,0.099069715,0.09289221,0.086099364,0.083165385,0.085634254,0.08997368,0.08982373,0.082187295,0.073237,0.07248112,0.083856486,0.099328905,0.10657182,0.09835941,0.07843611,0.057094514,0.043967154,0.043897193,0.05482148,0.07114813,0.084328085,0.08915105,0.0834167,0.07102169,0.057584304,0.050049346,0.05260555,0.065443926,0.08309522,0.09707606,0.10125929,0.09655964,0.08901211,0.08469295,0.084859975,0.08880528,0.094819784,0.101782165,0.10582003,0.1040219,0.09582577,0.085424595,0.076305695,0.06986863,0.06451843,0.059355557,0.054082215,0.048630927,0.04214749,0.033920474,0.024739683,0.017669225,0.017495237,0.028593346,0.051645428,0.081998944,0.11235964,0.13644753,0.15312177,0.16224991,0.16498233,0.16009445,0.15018177,0.13863575,0.12941931,0.120953076,0.11027578,0.09828467,0.09436964,0.106898904,0.13482088,0.16256158,0.1753571,0.16703348,0.14604373,0.122820325,0.10516282,0.09401512,0.08758682,0.08336183,0.079748146,0.07711101,0.07613677,0.076711155,0.07694151,0.07576921,0.07305449,0.06983567,0.06622448,0.06469322,0.06810693,0.07933102,0.0964191,0.11675503,0.13658826,0.15278983,0.16028178,0.15850402,0.15365064,0.15535605,0.16606386,0.17774367,0.17920409,0.16601081,0.14254068,0.11846352,0.100143194,0.089508384,0.082171075,0.075706095,0.0710328,0.07234858,0.080221884,0.0902461,0.097343594,0.10102362,0.10617718,0.1206885,0.14806433,0.18381234,0.21318488,0.22371827,0.21541952,0.20364897,0.20385171,0.217979,0.2327374,0.23332727,0.21450555,0.18443166,0.1553014,0.13650997,0.12784271,0.12402043,0.11837983,0.10946438,0.09915764,0.09155312,0.08884079,0.092211425,0.09985227,0.10838106,0.112591654,0.11024738,0.103084244,0.096677035,0.09594246,0.103164375,0.11826122,0.13891505,0.15927716,0.16954349,0.16135877,0.13539292,0.10238696,0.07645303,0.064701706,0.06521406,0.070832826,0.07691181,0.08366865,0.09271526,0.104410686,0.11742429,0.136234,0.16483192,0.20115773,0.22661763,0.22489364,0.19574718,0.16556937,0.16079526,0.18956679,0.2316771,0.2615638,0.26518026,0.24668998,0.2173086,0.18360455,0.14920218,0.11616228,0.091362745,0.08017886,0.087958746,0.11525186,0.15651299,0.19659035,0.21610552,0.2054633,0.17247348,0.13947245,0.123656,0.1283518,0.14211144,0.15526243,0.16494118,0.17440937,0.1825847,0.18565117,0.18343185,0.18552905,0.20013662,0.22490777,0.24219312,0.23856907,0.21240632,0.17776495,0.1462584,0.12230664,0.10330055,0.08891087,0.083729036,0.09080371,0.10736572,0.12343345,0.13187411,0.13384007,0.13968939,0.15894257,0.19129236,0.22373743,0.23858964,0.22637792,0.19127311,0.1479063,0.110033125,0.08801246,0.087500624,0.109993875,0.14733462,0.1826359,0.20092534,0.19991602,0.18994266,0.18156381,0.176618,0.1714583,0.16294496,0.15222926,0.1393438,0.12475458,0.10957881,0.097725905,0.091745116,0.08972899,0.08916911,0.089245535,0.09543637,0.1104481,0.13166447,0.14810626,0.15199743,0.14405198,0.13297333,0.12492064,0.12063259,0.11918124,0.1263777,0.14724503,0.17905076,0.20434733,0.20814955,0.18744117,0.15532465,0.12527622,0.104507096,0.095555685,0.103664316,0.1330908,0.17810209,0.21938296,0.2378363,0.22766584,0.20089495,0.17243022,0.15056871,0.13274099,0.1149348,0.09496627,0.07549356,0.05984963,0.051300567,0.050540835,0.05796212,0.07328845,0.097750165,0.12935643,0.1644639,0.19531958,0.21689756,0.22569282,0.222477,0.2091912,0.18989833,0.16898312,0.15032502,0.13611783,0.1283661,0.12689015,0.12930506,0.12881635,0.12157724,0.10883958,0.09954944,0.10242478,0.12048838,0.14706247,0.17050642,0.18403573,0.18877918,0.18880425,0.18100357,0.1609146,0.13290466,0.115113676,0.12326487,0.15701272,0.1988725,0.23125172,0.24580742,0.24426757,0.23029546,0.20970918,0.19067745,0.18036985,0.17863148,0.17612253,0.16706604,0.15612692,0.15978737,0.18646275,0.2275166,0.25673726,0.25329307,0.21564698,0.16289978,0.11733779,0.09062058,0.081731655,0.08372968,0.090168685,0.09565085,0.09624946,0.090688504,0.08215552,0.07636759,0.078794934,0.09332953,0.120358825,0.15416574,0.1805176,0.18560322,0.16528572,0.1299925,0.09405577,0.06726756,0.051661473,0.046331227,0.048313532,0.053045508,0.056474056,0.06007852,0.07046764,0.09084761,0.11476693,0.12754518,0.12077849,0.09754997,0.07176568,0.053248417,0.044582713,0.040794868,0.038721938,0.03707529,0.036331158,0.03518045,0.033267703,0.031721175,0.032460313,0.034946103,0.036128532,0.034074593,0.03026557,0.028833857,0.03291871,0.04182969,0.05195022,0.05902481,0.06343321,0.0702105,0.08430324,0.10306955,0.115658365,0.11364142,0.09898835,0.084309615,0.07920655,0.083627455,0.08832959,0.089379095,0.09414997,0.11883112,0.1672355,0.2235836,0.25895348,0.2619038,0.24244456,0.2217022,0.20415914,0.18376003,0.15565696,0.1274062,0.10807965,0.099184,0.09796033,0.10037943,0.10570672,0.109896,0.11297947,0.116130255,0.12518522,0.1420117,0.16677015,0.19456887,0.21743532,0.22723484,0.22554226,0.22519787,0.24148297,0.27603474,0.31808665,0.34958282,0.35828662,0.3360885,0.2868121,0.22275923,0.16356324,0.12052933,0.0945726,0.07808756,0.06670193,0.061062347,0.06506392,0.081233464,0.106396645,0.1322543,0.14642955,0.14182301,0.12000457,0.09092236,0.064422056,0.0462075,0.03887272,0.044983607,0.064310096,0.09042709,0.11031574,0.116070956,0.11153048,0.11413439,0.1378536,0.18429856,0.23682047,0.27663916,0.29094148,0.28163013,0.25622216,0.22589286,0.200158,0.18990314,0.19949771,0.22477774,0.2502804,0.2625899,0.2560629,0.23602043,0.20939536,0.18114525,0.15408003,0.13116576,0.11510119,0.10644246,0.10432739,0.10870603,0.1191136,0.13299803,0.14410187,0.1482507,0.1479183,0.15407097,0.17852478,0.22360146,0.27699372,0.31848457,0.33269244,0.31656694,0.2770404,0.22684403,0.17886628,0.14329906,0.12155104,0.110581994,0.10751292,0.11498981,0.13593318,0.16720212,0.19813935,0.21470974,0.20935245,0.18565685,0.15550774,0.1300435,0.11178049,0.10031366,0.09630085,0.1065614,0.13526249,0.18291634,0.23908238,0.28782216,0.30787662,0.29137608,0.24619812,0.19668406,0.16153562,0.14764732,0.1494961,0.15840606,0.166202,0.16454463,0.14935076,0.12310562,0.09775537,0.0887511,0.10389746,0.13676144,0.16573198,0.17259155,0.15231647,0.11947163,0.09251494,0.08576348,0.10500744,0.15109698,0.21825701,0.28884944,0.3373488,0.34407464,0.30930996,0.25295466,0.19809066,0.1589141,0.13783573,0.13500053,0.15098332,0.1820402,0.21518655,0.23200996,0.2246632,0.20180966,0.18150127,0.17284715,0.1704514,0.16599411,0.1597599,0.16223234,0.1761203,0.19310617,0.19863576,0.1934448,0.18953027,0.1973481,0.21137346,0.2212884,0.22848396,0.24648178,0.28371412,0.3299406,0.36034095,0.3555213,0.31205216,0.24855219,0.19025238,0.16293885,0.1754465,0.22282578,0.27962264,0.31846988,0.31880394,0.2882063,0.2508262,0.23328477,0.23795103,0.2484854,0.24385548,0.22112615,0.19107991,0.16802426,0.15502591,0.15069574,0.1558246,0.18186457,0.23744051,0.32061413,0.4101648,0.4822518,0.5164253,0.5051237,0.4498804,0.36751926,0.2885426,0.24219157,0.23861222,0.25989702,0.2788394,0.27602845,0.2515,0.21685888,0.18588527,0.16582578,0.15430377,0.1432035,0.12524669,0.1005821,0.074695386,0.05343483,0.039120715,0.033103574,0.039665896,0.06431242,0.10948878,0.16623716,0.21836822,0.24594061,0.24336703,0.22083254,0.2070841,0.22183223,0.26442286,0.30484116,0.3151197,0.28669664,0.23865104,0.19428067,0.16567256,0.15065368,0.14097656,0.13224258,0.12490809,0.12531115,0.13774164,0.1599043,0.18139035,0.191899,0.19065998,0.18470193,0.18397768,0.19064029,0.20227367,0.209891,0.2061773,0.18607835,0.15417252,0.120271556,0.09545854,0.08461392,0.08678648,0.09715689,0.11180848,0.12931278,0.15418388,0.19225861,0.2518135,0.33103976,0.419914,0.49316588,0.5279805,0.51332045,0.46229663,0.40484023,0.37066874,0.37129024,0.390623,0.39717937,0.3698231,0.3143778,0.25948283,0.22956277,0.22898914,0.24148162,0.24560441,0.22832473,0.19045694,0.14550936,0.11178806,0.10429422,0.12906675,0.17855702,0.23377831,0.26888505,0.2687548,0.23755123,0.19872177,0.1760223,0.17749034,0.19297224,0.20150547,0.19157435,0.16512598,0.14389902,0.14661531,0.17756581,0.21577674,0.23722102,0.23576061,0.22741427,0.23312537,0.25520453,0.28409967,0.30732238,0.3312302,0.36351785,0.4082323,0.4444305,0.4504309,0.4150888,0.35794827,0.308012,0.28516528,0.28590298,0.29451495,0.29782495,0.29385126,0.28891972,0.29431567,0.31162718,0.33080974,0.3292411,0.30213803,0.27005464,0.27210915,0.3250655,0.4074726,0.47416535,0.49415517,0.4704988,0.42677715,0.3818386,0.3368524,0.28542268,0.2271002,0.17131193,0.12906784,0.10522274,0.09740865,0.10001307,0.108752556,0.12146405,0.13907035,0.16152303,0.18572162,0.2027961,0.2051384,0.19139855,0.1708238,0.15301411,0.14331578,0.13870537,0.14068885,0.15643285,0.19428612,0.24789107,0.29558608,0.31547022,0.30290607,0.27272233,0.24365087,0.22386007,0.21166722,0.20376362,0.20222248,0.20771128,0.21644515,0.21921347,0.21122362,0.1948564,0.17952575,0.17058058,0.16703546,0.16124427,0.15169413,0.14020711,0.13379072,0.13564724,0.1561808,0.20483641,0.28505203,0.37476662,0.44075212,0.45734438,0.42929634,0.3781736,0.3250092,0.2752292,0.22867413,0.18609102,0.15226828,0.1297332,0.11796138,0.11632463,0.1256327,0.14657511,0.17306888,0.19308768,0.19542049,0.17986405,0.15683287,0.13799231,0.12745288,0.12180317,0.115874805,0.107350886,0.09678808,0.086423,0.077988334,0.07299849,0.07126198,0.07246185,0.07468685,0.077658534,0.080541395,0.08410706,0.087349795,0.089614846,0.09100357,0.0956392,0.11267821,0.14994039,0.20689516,0.26815644,0.31201848,0.3214934,0.29439417,0.24396062,0.1947509,0.17654242,0.20758624,0.28148904,0.36221135,0.41134036,0.41100302,0.3762691,0.33037397,0.28891772,0.25156206,0.2172979,0.18959408,0.1764235,0.17931235,0.19022495,0.19509809,0.18633437,0.1667742,0.14669293,0.1331039,0.12871777,0.13150972,0.1387794,0.14497425,0.14739798,0.1458233,0.14384998,0.14323963,0.14697912,0.16173248,0.19318835,0.2388851,0.2802504,0.29818502,0.2814116,0.24118745,0.19911437,0.18253805,0.20420092,0.2595608,0.32237348,0.3674228,0.3818711,0.3754624,0.35867295,0.3346597,0.29562774,0.24197863,0.18589036,0.14332367,0.12044925,0.11035294,0.10533955,0.100713305,0.09715449,0.09191612,0.08409566,0.074505694,0.06958672,0.072758965,0.0841158,0.097598456,0.10877631,0.11364442,0.11334439,0.1087069,0.102782816,0.0984476,0.10275429,0.12609185,0.17562096,0.24635436,0.31694227,0.36051205,0.36119637,0.32369697,0.27254167,0.23726146,0.2387129,0.2745522,0.32080817,0.3468701,0.33655155,0.2970479,0.24807037,0.20528825,0.17333014,0.15369527,0.15291488,0.17949587,0.229407,0.2816451,0.30989897,0.3032255,0.27049372,0.2285329,0.18958141,0.15894984,0.1397307,0.13190807,0.13350034,0.14401294,0.16839199,0.2110432,0.2647334,0.3096219,0.32432655,0.3030658,0.25716433,0.20715363,0.16679227,0.14188375,0.1304571,0.13108385,0.13943785,0.15184247,0.16527776,0.18276338,0.20868005,0.23993196,0.26424882,0.2668866,0.24767631,0.21999271,0.20569812,0.21585931,0.24616815,0.2766361,0.28712675,0.27321404,0.24534492,0.21979372,0.19953114,0.18351422,0.16885276,0.16012675,0.15881146,0.16500632,0.17791687,0.1947171,0.20944707,0.21271552,0.20390685,0.19000839,0.18460955,0.19787139,0.23507327,0.28976157,0.34329543,0.37367728,0.3702471,0.3411703,0.30345997,0.2712436,0.24801505,0.23004572,0.21495287,0.20538871,0.21032138,0.22941796,0.25516745,0.26954564,0.2660226,0.2437161,0.21352488,0.18191154,0.15607122,0.13758813,0.12866502,0.13074641,0.14496396,0.16842979,0.19100268,0.2032814,0.20091538,0.19043463,0.17828612,0.16989644,0.1648534,0.16338848,0.16435523,0.17000397,0.1875896,0.23113106,0.3095682,0.41315517,0.5072543,0.55052394,0.5212201,0.43455008,0.33171135,0.25119445,0.20709606,0.18734914,0.17381315,0.15555833,0.13425301,0.11383325,0.09770322,0.086210586,0.08108307,0.082480274,0.08954524,0.09819046,0.10658605,0.11609105,0.13192895,0.15690982,0.1867582,0.21409504,0.23274691,0.24623676,0.25837564,0.27362418,0.2885374,0.29952884,0.2997528,0.28569803,0.2581455,0.22408849,0.19230385,0.1679736,0.15238816,0.14439446,0.14117725,0.13827918,0.1329451,0.13115078,0.14838661,0.19884746,0.28282872,0.38305727,0.47507772,0.5357849,0.54804355,0.5060445,0.42061758,0.32024524,0.23489119,0.18504779,0.17550033,0.2019266,0.24937527,0.29448745,0.314616,0.30337766,0.27485004,0.2480971,0.23224062,0.2233737,0.21572588,0.20667368,0.19556105,0.18110585,0.16457753,0.15256691,0.15425538,0.17581064,0.21493089,0.26541212,0.31622687,0.36070964,0.38872787,0.39638412,0.37728468,0.33340153,0.2709714,0.20672111,0.1604322,0.14326881,0.15199913,0.16916843,0.1800124,0.17745624,0.1643426,0.14403914,0.11856074,0.089518346,0.060310394,0.03611298,0.022297462,0.025380695,0.052206278,0.1044328,0.17239465,0.23455946,0.27066144,0.27294973,0.2512333,0.22209096,0.20097955,0.19389753,0.19819735,0.2031166,0.19923556,0.1844812,0.16470067,0.14588477,0.1290053,0.11203241,0.09339122,0.07430523,0.05794167,0.04932772,0.05185966,0.06538753,0.08495315,0.10631659,0.12725651,0.14630662,0.15843447,0.15574574,0.13612147,0.10561476,0.0790748,0.068282336,0.0804785,0.11146041,0.15137328,0.18464446,0.20263644,0.20402724,0.1963408,0.18683685,0.18074353,0.17920256,0.1785636,0.1736427,0.16031183,0.1420495,0.12631729,0.12283937,0.1350901,0.15970272,0.18463792,0.19927067,0.19916546,0.19316609,0.19362843,0.21191938,0.24471979,0.2821938,0.30769315,0.31424275,0.30006352,0.27449608,0.24847107,0.23025428,0.22049649,0.2122413,0.20382552,0.1978455,0.2045712,0.2260436,0.25836083,0.28755966,0.30496088,0.30554116,0.29237258,0.26591584,0.23122883,0.19704719,0.17682058,0.17705876,0.19318305,0.21587203,0.23839985,0.26128456,0.2835358,0.2993165,0.2962006,0.26718846,0.21878909,0.17272782,0.15185845,0.16246574,0.19022177,0.21055013,0.21257617,0.2020591,0.19533944,0.19935314,0.21198511,0.22546762,0.23300926,0.2271462,0.20227642,0.16098882,0.11706,0.08608345,0.075389095,0.079351105,0.08931786,0.09792688,0.103459515,0.10616926,0.11207069,0.12787603,0.15606277,0.18699501,0.20710658,0.20794475,0.19539972,0.18257366,0.18563686,0.21070433,0.25111118,0.28385094,0.28847837,0.26226324,0.22432391,0.19856626,0.19373815,0.20492278,0.21807827,0.22633268,0.22571458,0.22086503,0.21468848,0.21019097,0.20870854,0.21747231,0.25040194,0.31483665,0.39780375,0.46385202,0.4802396,0.44203433,0.37483844,0.3124498,0.27026305,0.2471837,0.23636799,0.24178135,0.2640895,0.29726207,0.32099724,0.3233275,0.30350116,0.27646354,0.26007342,0.2666322,0.29732803,0.33379248,0.35609308,0.35102436,0.3325831,0.3182213,0.31885585,0.32252967,0.31427634,0.2881242,0.2510058,0.21530902,0.18563865,0.16401184,0.14950319,0.15021993,0.17887636,0.24245608,0.32894912,0.406279,0.44915524,0.4521638,0.43178633,0.39942798,0.359334,0.30925897,0.25720206,0.21123105,0.18016934,0.16146411,0.15294027,0.14871968,0.15025334,0.15904437,0.17787695,0.20270891,0.22538513,0.24075396,0.2521623,0.27197853,0.30500248,0.34443116,0.37156153,0.38107356,0.37912807,0.37853166,0.3726039,0.352535,0.31847295,0.29429212,0.293456,0.30723706,0.30375162,0.2671421,0.20516564,0.1452729,0.10414293,0.08458371,0.07704729,0.07613985,0.079115696,0.08727136,0.09882453,0.113959335,0.13107657,0.15013541,0.16821913,0.18400948,0.19588952,0.20400842,0.2094964,0.2173565,0.23443525,0.2642685,0.30178273,0.33206788,0.33953485,0.31445494,0.26535556,0.20867538,0.16333532,0.13184161,0.110734075,0.09395296,0.08446609,0.084838785,0.09581995,0.11712518,0.15616731,0.2242816,0.3234425,0.43022132,0.504598,0.5135068,0.45978868,0.37603483,0.30278358,0.2571923,0.23535454,0.22235368,0.21184881,0.20372325,0.199573,0.1977322,0.19210245,0.18125683,0.16421555,0.14895014,0.14200729,0.15355457,0.18308055,0.22041981,0.24521656,0.24521188,0.22648309,0.21378367,0.23335741,0.29801074,0.39839172,0.50845385,0.5956483,0.63352895,0.6101174,0.5304885,0.4173812,0.30137855,0.21071489,0.15472852,0.1283244,0.116707884,0.11216917,0.11003641,0.11092337,0.11306221,0.1170435,0.12566413,0.14600183,0.18591654,0.2425201,0.300784,0.33870712,0.35114452,0.34883213,0.34733513,0.34729373,0.34414294,0.34456623,0.36218277,0.39686975,0.4206288,0.40610906,0.3520144,0.2885116,0.24756329,0.24533875,0.27979317,0.33621335,0.38773808,0.40375602,0.37244925,0.31268105,0.26190057,0.24128555,0.24300504,0.23906757,0.21294867,0.16829495,0.12378138,0.09164848,0.073288694,0.06345448,0.060688507,0.06666237,0.08131375,0.09971837,0.11654761,0.13071914,0.14481717,0.15974654,0.17337696,0.18454222,0.19627146,0.21279806,0.23198433,0.2463954,0.2502515,0.24838264,0.25174987,0.26526308,0.28155598,0.28700623,0.27678975,0.2560674,0.23528014,0.2206663,0.21615094,0.22207981,0.23464598,0.24509549,0.24658854,0.24137735,0.23803604,0.24515526,0.26106825,0.27934638,0.29267558,0.30211285,0.3113887,0.3207575,0.32517084,0.31797096,0.30079624,0.28011224,0.26600865,0.26275063,0.26814547,0.27443656,0.2739264,0.26440722,0.2467636,0.22480483,0.20384753,0.19238263,0.1976989,0.21756847,0.24120857,0.2540927,0.25328436,0.24548763,0.24391349,0.25035572,0.25779352,0.25256556,0.23448205,0.21175571,0.19955735,0.19888921,0.20393474,0.20209615,0.19153082,0.17559713,0.16350664,0.1592563,0.16120392,0.16242158,0.15699549,0.1439427,0.1281077,0.11592239,0.114429556,0.12528868,0.14586827,0.16673337,0.18071638,0.1864715,0.1893536,0.1951978,0.20556784,0.22099745,0.24111323,0.26661718,0.2938702,0.32163346,0.35295582,0.3985168,0.45913115,0.5162713,0.53459567,0.49182475,0.39912418,0.29517755,0.21627498,0.17336929,0.15621091,0.15112424,0.15490557,0.17177153,0.20133553,0.23352051,0.25493523,0.26431224,0.27471784,0.30015418,0.34213158,0.38510284,0.41583145,0.4229041,0.40805864,0.36986077,0.3207798,0.2726057,0.24348034,0.23693965,0.25405183,0.28867579,0.33748534,0.38474873,0.41413465,0.40929726,0.37749147,0.33257285,0.29507065,0.26845884,0.25225303,0.23708649,0.2227881,0.21695043,0.23742487,0.2916107,0.36347315,0.41732916,0.42627525,0.391767,0.34134158,0.30210808,0.28913608,0.2984942,0.32061943,0.34125146,0.35360193,0.35853386,0.36379346,0.3761499,0.39220086,0.4036652,0.39629233,0.36487746,0.3090473,0.24322917,0.18312837,0.14343274,0.12541367,0.12120708,0.12093824,0.11896976,0.11581078,0.11372938,0.11569328,0.12553449,0.14464319,0.173158,0.20368092,0.22908759,0.24078779,0.24373685,0.2530706,0.29226622,0.36701703,0.45535827,0.51934093,0.53965956,0.53637815,0.5444843,0.5774096,0.6099081,0.60741955,0.5581718,0.48072252,0.4088781,0.36834657,0.36825398,0.3895057,0.4001111,0.37267467,0.31197646,0.24535148,0.20204759,0.19220991,0.20939465,0.24584496,0.2949729,0.35217234,0.40513763,0.44340864,0.4628557,0.47408465,0.49072656,0.51759154,0.54012865,0.53931993,0.50729305,0.45869848,0.41170213,0.3755904,0.34510854,0.3171171,0.2923403,0.27506602,0.26253834,0.25409195,0.2503437,0.2594467,0.28522325,0.33090687,0.39414743,0.46858105,0.5362751,0.57456714,0.5714395,0.5427713,0.523206,0.5400482,0.5852881,0.6236604,0.62088567,0.57339317,0.5037359,0.43929544,0.39220318,0.36663547,0.36296248,0.384928,0.41852608,0.44463816,0.4410635,0.41668078,0.39046526,0.38133606,0.37986037,0.3731836,0.36229452,0.3642496,0.3861351,0.40869653,0.40885463,0.37802258,0.3309956,0.2823349,0.24740271,0.23506765,0.2529857,0.2855651,0.30855593,0.2994993,0.2700527,0.24632753,0.25475428,0.28899613,0.32587013,0.336182,0.3157135,0.27793217,0.24797548,0.23618306,0.23885484,0.24374922,0.24960236,0.26742998,0.30813387,0.366202,0.4150287,0.42680827,0.3916291,0.32926968,0.26922438,0.23375656,0.22297126,0.22975862,0.24405336,0.26437867,0.28467968,0.30268142,0.31183815,0.3198855,0.33403,0.36440137,0.39704862,0.41026375,0.38130644,0.31833914,0.25267962,0.22549583,0.25584647,0.3309504,0.4139599,0.4758555,0.51450014,0.5532344,0.6047113,0.655474,0.6693423,0.6279149,0.5454947,0.4641802,0.41659462,0.40557304,0.40506247,0.3883539,0.3480101,0.30027282,0.2657219,0.25570783,0.26307192,0.2750994,0.28191173,0.2871028,0.29711172,0.3131536,0.32534143,0.32408068,0.31026375,0.2969074,0.29785392,0.3194761,0.35504308,0.39128947,0.4111807,0.40893817,0.39274457,0.3827593,0.39132002,0.41442737,0.44022596,0.4625927,0.484386,0.50394005,0.51177555,0.49875474,0.46537617,0.42453197,0.3888228,0.37211964,0.37697592,0.4002584,0.42217946,0.42694864,0.40584305,0.37004617,0.33397302,0.31311497,0.31743643,0.3528619,0.412217,0.47179055,0.5039938,0.49850014,0.47034147,0.4399022,0.4109898,0.37105966,0.31378326,0.2518995,0.20407085,0.18119282,0.18082254,0.2046438,0.25262082,0.32349217,0.3991735,0.45875084,0.4819899,0.46412447,0.41480768,0.35650957,0.30861196,0.27704167,0.25564083,0.2449838,0.2573339,0.308293,0.39438128,0.49174795,0.5638835,0.58405596,0.5485602,0.48242614,0.4212592,0.38717577,0.3750355,0.36624542,0.34699813,0.31641254,0.27832815,0.23759736,0.19957596,0.17089991,0.15470213,0.15025277,0.15490611,0.1678419,0.18583429,0.2013361,0.20488162,0.19509982,0.18442382,0.18652499,0.20337279,0.21759458,0.21443559,0.19281964,0.16986065,0.16297828,0.18245472,0.22381936,0.26797166,0.28857622,0.27107933,0.22727083,0.1852939,0.1657073,0.1658597,0.17025797,0.16859935,0.16585684,0.17328846,0.19589029,0.22375828,0.24121337,0.23841101,0.22053762,0.19929278,0.18578166,0.18619418,0.20347933,0.23271763,0.2583814,0.26280713,0.2396941,0.19935195,0.1574351,0.124799885,0.10366491,0.092656545,0.087948896,0.08510672,0.08011935,0.072249345,0.06377538,0.058291923,0.059017617,0.06760166,0.08367168,0.10495627,0.12734555,0.14583378,0.15451516,0.1518439,0.14082563,0.12886862,0.118958764,0.110519685,0.1008164,0.09143818,0.08507168,0.08314637,0.08291393,0.08077144,0.07480687,0.066151336,0.056977894,0.049187347,0.0447747,0.047161,0.05802353,0.07441097,0.087416224,0.09017385,0.08225835,0.071175344,0.064625174,0.06623369,0.07436811,0.08516998,0.09479905,0.099984504,0.0990947,0.094094075,0.089286454,0.08909362,0.092544325,0.09624344,0.09622702,0.09371809,0.09217071,0.09514505,0.10103143,0.104296334,0.099130295,0.08625257,0.07375159,0.0721497,0.08659843,0.11313695,0.14206852,0.16329746,0.17214978,0.16994387,0.16200466,0.15273358,0.14334379,0.13287225,0.1210938,0.10898539,0.098120354,0.08896664,0.08185369,0.07673428,0.07377236,0.0724609,0.0712676,0.0684746,0.06414714,0.061893832,0.06726972,0.08230955,0.10257655,0.11749757,0.11861553,0.103877634,0.08013687,0.056883324,0.04124442,0.03412867,0.03251938,0.03430469,0.040434424,0.05223884,0.06700253,0.079192504,0.08737585,0.097495645,0.11707979,0.14568326,0.17395575,0.19384968,0.20542847,0.21489227,0.22311561,0.2252066,0.21386522,0.18918067,0.15612218,0.123773836,0.098588265,0.085352264,0.08334863,0.08922726,0.09585467,0.09808866,0.09271583,0.08206942,0.06940506,0.05947396,0.05489182,0.060332004,0.07854112,0.11215248,0.15694575,0.20625699,0.24794407,0.27259913,0.27461803,0.25814354,0.23235607,0.20719604,0.18903363,0.18279658,0.19237588,0.21918988,0.2557834,0.28982958,0.3076036,0.30518988,0.28318903,0.24872561,0.20637424,0.16458178,0.12875399,0.10559511,0.09604026,0.09946755,0.11106593,0.1266073,0.14320265,0.16040634,0.17838801,0.19476406,0.205203,0.20462179,0.190583,0.16472046,0.13200656,0.10128042,0.08152307,0.07971421,0.09379455,0.114056885,0.12802823,0.12981392,0.12161812,0.109312415,0.097047925,0.08712286,0.082671426,0.085888386,0.09422317,0.09903351,0.09455186,0.08445502,0.08038348,0.08913646,0.10601098,0.11914065,0.12062498,0.11204966,0.101412944,0.097362936,0.10276586,0.113788165,0.120995484,0.11831153,0.10618652,0.09189453,0.081143476,0.07525253,0.07106095,0.065326475,0.05693263,0.047604423,0.040379256,0.037293747,0.03851326,0.04430585,0.05626741,0.075208634,0.097177096,0.11466584,0.122716226,0.12258843,0.119712956,0.11698008,0.114077486,0.10739621,0.09527424,0.07816095,0.062301412,0.05481914,0.06041709,0.075606614,0.09263306,0.10425226,0.10813522,0.10571555,0.099478036,0.09178659,0.08438643,0.07845115,0.07340768,0.06760283,0.059930276,0.051600143,0.045424808,0.043029692,0.045104325,0.051484097,0.06465132,0.084186785,0.106043376,0.11909493,0.11612586,0.098546386,0.07893746,0.06941443,0.074094735,0.087807536,0.10248987,0.11159045,0.11064301,0.09815749,0.077446066,0.05634676,0.042041857,0.036373664,0.036086693,0.03820962,0.041992407,0.047890633,0.05377837,0.057459757,0.0589029,0.060676437,0.06382764,0.064743996,0.05946626,0.046602488,0.030753223,0.016580712,0.007446909,0.0027507588,0.0013045501]